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Volumn 218, Issue 2, 2011, Pages 280-286

Global stability of multigroup epidemic model with group mixing and nonlinear incidence rates

Author keywords

Global stability; Group mixing; Lyapunov function; Multigroup epidemic model; Nonlinear incidence

Indexed keywords

BASIC REPRODUCTION NUMBER; DISEASE-FREE EQUILIBRIUM; ENDEMIC EQUILIBRIUM; EPIDEMIC MODELS; GLOBAL DYNAMICS; GLOBAL STABILITY; GLOBAL THRESHOLD; GROUP MIXING; MULTI-GROUP; NONLINEAR INCIDENCE; NONLINEAR INCIDENCE RATES; NUMERICAL EXAMPLE; REMOVAL FUNCTION;

EID: 79960834712     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2011.05.056     Document Type: Article
Times cited : (76)

References (20)
  • 1
    • 0017226769 scopus 로고
    • A deterministic model for gonorrhea in a nonhomogeneous population
    • A. Lajmanovich, and J.A. York A deterministic model for gonorrhea in a nonhomogeneous population Math. Biosci. 28 1976 221 236
    • (1976) Math. Biosci. , vol.28 , pp. 221-236
    • Lajmanovich, A.1    York, J.A.2
  • 2
    • 0018656345 scopus 로고
    • Population biology of infectious diseases i
    • R.M. Anderson, and R.M. May Population biology of infectious diseases I Nature 280 1979 361 367
    • (1979) Nature , vol.280 , pp. 361-367
    • Anderson, R.M.1    May, R.M.2
  • 3
    • 0000723140 scopus 로고
    • Stability and bifurcation for a multiple-group model for the dynamics of HIV/AIDS transmission
    • W. Huang, K.L. Cooke, and C. Castillo-Chavez Stability and bifurcation for a multiple-group model for the dynamics of HIV/AIDS transmission SIAM J. Appl. Math. 52 1992 835 854
    • (1992) SIAM J. Appl. Math. , vol.52 , pp. 835-854
    • Huang, W.1    Cooke, K.L.2    Castillo-Chavez, C.3
  • 4
    • 0032812296 scopus 로고    scopus 로고
    • Global dynamics of a SEIR model with varying total population size
    • DOI 10.1016/S0025-5564(99)00030-9, PII S0025556499000309
    • M.Y. Li, J.R. Graef, L. Wang, and J. Karsai Global dynamics of a SEIR model with varying total population size Math. Biosci. 160 1999 191 213 (Pubitemid 29398860)
    • (1999) Mathematical Biosciences , vol.160 , Issue.2 , pp. 191-213
    • Li, M.Y.1    Graef, J.R.2    Wang, L.3    Karsai, J.4
  • 6
    • 34547134261 scopus 로고    scopus 로고
    • Global analysis of an epidemic model with nonmonotone incidence rate
    • DOI 10.1016/j.mbs.2006.09.025, PII S0025556406001866
    • D. Xiao, and S. Ruan Global analysis of an epidemic model with nonmonotone incidence rate Math. Biosci. 208 2007 419 429 (Pubitemid 47101853)
    • (2007) Mathematical Biosciences , vol.208 , Issue.2 , pp. 419-429
    • Xiao, D.1    Ruan, S.2
  • 7
    • 38049037455 scopus 로고    scopus 로고
    • Global stability of the endemic equilibrium of multigroup SIR epidemic models
    • H. Guo, M.Y. Li, and Z. Shuai Global stability of the endemic equilibrium of multigroup SIR epidemic models Can. Appl. Math. Q 14 2006 259 284
    • (2006) Can. Appl. Math. Q , vol.14 , pp. 259-284
    • Guo, H.1    Li, M.Y.2    Shuai, Z.3
  • 8
    • 70349388314 scopus 로고    scopus 로고
    • A graphtheoretic approach to the method of global Lyapunov functions
    • H. Guo, M.Y. Li, and Z. Shuai A graphtheoretic approach to the method of global Lyapunov functions Proc. Am. Math. Soc. 136 2008 2793 2802
    • (2008) Proc. Am. Math. Soc. , vol.136 , pp. 2793-2802
    • Guo, H.1    Li, M.Y.2    Shuai, Z.3
  • 9
    • 70349384940 scopus 로고    scopus 로고
    • Global stability of multi-group epidemic models with distributed delays
    • M.Y. Li, Z.S. Shuai, and C.C. Wang Global stability of multi-group epidemic models with distributed delays J. Math. Anal. Appl. 361 2010 38 47
    • (2010) J. Math. Anal. Appl. , vol.361 , pp. 38-47
    • Li, M.Y.1    Shuai, Z.S.2    Wang, C.C.3
  • 10
    • 70349785039 scopus 로고    scopus 로고
    • Global-stability problem for coupled systems of differential equations on networks
    • M.Y. Li, and Z.S. Shuai Global-stability problem for coupled systems of differential equations on networks J. Differ. Eqn. 248 2010 1 20
    • (2010) J. Differ. Eqn. , vol.248 , pp. 1-20
    • Li, M.Y.1    Shuai, Z.S.2
  • 11
    • 70350722240 scopus 로고    scopus 로고
    • Complete global stability for an SIR epidemic model with delay - Distributed or discrete
    • C.C. McCluskey Complete global stability for an SIR epidemic model with delay - distributed or discrete Nonlinear Anal. Real World Appl. 11 2010 55 59
    • (2010) Nonlinear Anal. Real World Appl. , vol.11 , pp. 55-59
    • McCluskey, C.C.1
  • 12
    • 70449709108 scopus 로고    scopus 로고
    • Global stability of epidemiological models with group mixing and nonlinear incidence rates
    • Z.H. Yuan, and L. Wang Global stability of epidemiological models with group mixing and nonlinear incidence rates Nonlinear Anal. Real World Appl. 11 2010 995 1004
    • (2010) Nonlinear Anal. Real World Appl. , vol.11 , pp. 995-1004
    • Yuan, Z.H.1    Wang, L.2
  • 13
    • 77955513015 scopus 로고    scopus 로고
    • Global threshold property in an epidemic model for disease with latency spreading in a heterogeneous host population
    • Z.H. Yuan, and X.F. Zou Global threshold property in an epidemic model for disease with latency spreading in a heterogeneous host population Nonlinear Anal. Real World Appl. 11 2010 3479 3490
    • (2010) Nonlinear Anal. Real World Appl. , vol.11 , pp. 3479-3490
    • Yuan, Z.H.1    Zou, X.F.2
  • 14
    • 3042703290 scopus 로고    scopus 로고
    • Lyapunov functions and global properties for SEIR and SEIS epidemic models
    • A. Korobeinikov Global properties of SIR and SEIR epidemic models with multiple parallel infectious stages Bull. Math. Biol. 71 2009 75 83 (Pubitemid 38867853)
    • (2004) Mathematical Medicine and Biology , vol.21 , Issue.2 , pp. 75-83
    • Korobeinikov, A.1
  • 15
    • 77955512998 scopus 로고    scopus 로고
    • A Lyapunov functional for a stage structured predator-prey model with nonlinear predation rate
    • P. Georgescu, Y.H. Hsieh, and H. Zhang A Lyapunov functional for a stage structured predator-prey model with nonlinear predation rate Nonlinear Anal. Real World Appl. 11 2010 3653 3665
    • (2010) Nonlinear Anal. Real World Appl. , vol.11 , pp. 3653-3665
    • Georgescu, P.1    Hsieh, Y.H.2    Zhang, H.3
  • 16
    • 44649122225 scopus 로고    scopus 로고
    • The effects of pulse vaccination on SEIR model with two time delays
    • S.J. Gao, Z.D. Teng, and D.H. Xie The effects of pulse vaccination on SEIR model with two time delays Appl. Math. Comput. 201 2008 282 292
    • (2008) Appl. Math. Comput. , vol.201 , pp. 282-292
    • Gao, S.J.1    Teng, Z.D.2    Xie, D.H.3
  • 17
    • 13644275724 scopus 로고    scopus 로고
    • Global properties of a delayed SIR model with temporary immunity and nonlinear incidence rate
    • DOI 10.1016/j.nonrwa.2004.10.001, PII S1468121804000963
    • Y.N. Kyrychko, and K.B. Blyuss Global properties of a delayed SIR model with temporary immunity and nonlinear incidence rate Nonlinear Anal. Real World Appl. 6 2005 495 507 (Pubitemid 40232066)
    • (2005) Nonlinear Analysis: Real World Applications , vol.6 , Issue.3 , pp. 495-507
    • Kyrychko, Y.N.1    Blyuss, K.B.2
  • 18
    • 62949219167 scopus 로고    scopus 로고
    • Pulse vaccination on SEIR epidemic model with nonlinear incidence rate
    • X. Wang, Y.D. Tao, and X.Y. Song Pulse vaccination on SEIR epidemic model with nonlinear incidence rate Appl. Math. Comput. 210 2009 398 404
    • (2009) Appl. Math. Comput. , vol.210 , pp. 398-404
    • Wang, X.1    Tao, Y.D.2    Song, X.Y.3
  • 19
    • 61449181521 scopus 로고    scopus 로고
    • Analysis of a SEIV epidemic model with a nonlinear incidence rate
    • L.M. Cai, and X.Z. Lin Analysis of a SEIV epidemic model with a nonlinear incidence rate Appl. Math. Model. 33 2009 2919 2926
    • (2009) Appl. Math. Model. , vol.33 , pp. 2919-2926
    • Cai, L.M.1    Lin, X.Z.2
  • 20
    • 0000361466 scopus 로고
    • Uniform persistence and flows near a closed positively invariant set
    • H.I. Freedman, M.X. Tang, and S.G. Ruan Uniform persistence and flows near a closed positively invariant set J. Dyn. Differ. Eqn. 6 1994 583 600
    • (1994) J. Dyn. Differ. Eqn. , vol.6 , pp. 583-600
    • Freedman, H.I.1    Tang, M.X.2    Ruan, S.G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.